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The Quarterly Journal of Mechanics and Applied Mathematics 1974 27(4):451-464; doi:10.1093/qjmam/27.4.451
© 1974 by Oxford University Press
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GROWTH AND DECAY OF ACCELERATION WAVES IN INCOMPRESSIBLE ELASTIC SOLIDS

R. W. OGDEN

( School of Mathematics, University of Bath )

The growth equation for acceleration waves propagating in an incompressible elastic solid is derived, emphasis being placed on the role of certain tensors of elastic moduli. Particular attention is then paid to isotropic elastic solids, and conditions which determine whether transverse plane waves grow or decay are expressed in terms of elastic constants for a certain class of isotropic elastic materials. We examine how the growth/decay condition depends on the strain, the direction of propagation and the signs of these constants. The Mooney-Rivlin solid is one member of the class; for this material it is shown that transverse plane waves propagate with constant amplitude for any direction of propagation and arbitrary homogeneous prestrain. The results obtained are compared with those of the exact theory for a third-order incompressible isotropic elastic solid.


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 Mathematics and Mechanics of SolidsHome page
N. H. Scott and M. Hayes
Constant Amplitude Acceleration Waves in a Prestrained Incompressible Isotropic Elastic Solid
Mathematics and Mechanics of Solids, September 1, 1997; 2(3): 291 - 295.
[Abstract]


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